Question

in the figure below, ( mangle1 = 79^circ ) and ( mangle2 = 67^circ ).
find ( mangle gfh ).

Explanation:

Step1: Identify the relationship between angles

From the figure, we can see that \(m\angle GFH=m\angle1 + m\angle2\) (angle - addition postulate).

Step2: Substitute the given values

We know that \(m\angle1 = 79^{\circ}\) and \(m\angle2=67^{\circ}\). Substitute these values into the formula: \(m\angle GFH=79^{\circ}+67^{\circ}\).

Step3: Calculate the sum

\(79 + 67=146\), so \(m\angle GFH = 146^{\circ}\).

Answer:

\(146\)